利用2-D射影变换实现多视图下元素的预报
PREDICTING IMAGE ELEMENTS USING 2-D PROTECTIVE TRANSFORMATION FROM MULTIPLE VIEWS
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摘要: 在描述多视图的几何元素对应关系方面,2-D射影变换是一种有力工具。该文把求解2-D射影变换矩阵的方法从单纯的四点对应扩展到多种组合形式的四元素对应当中,如:4点、4线、3点1线、3线1点和2点2线等。基于2-D射影对应所描述的视图关系,可以有效解决双视图和三视图条件下的点元素或线元素的预报问题。由于没有任何估计因素的介入,提高了预报结果的准确性。灵活组合点线多种元素建立视图关系使得预报环境适应面广泛。实验结果验证了方法的有效性。Abstract: 2-D projective collineation provides an ideal mathematical tool for describing planar element correspondence in multiple views. This paper extends the solution methods for 2-D projective transformation matrix from 4 points corresponding to variety combinations of points and lines corresponding, such as 4 points, 4 lines, 1 point and 3 lines, 3 lines and 1 point, and 2 points and 2 lines, etc. Based on the relationship between two views indicated as 2-D projective collineation, prediction problems about points or lines from two views or three views can be solved effectively. Without any estimating parameters involved, the prediction results accuracy is improved. Freely combining points and lines on describing relationship between views makes the application field wider. The methods proposed here have been verified by experimental results.
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